A085547 - OEIS

%I #9 Jan 13 2022 01:35:42

%S 1,2,3,5,7,15,36,81,207,721,2376,7507,21738,73374,282743,1171196,

%T 4788339,16873326,67358487,254348771,1112160513,5501381580,

%U 28156192351,119664751353,562988633501,2493170384313,12700046797629,57276361610664,296047270811158

%N a(n) is the maximal row sum in the character table of the symmetric group S_n.

%C The minimal row sum in the table corresponds to the one-dimensional alternating representation and this is in sequence A000700. The maximal column sum in the character table is in sequence A000085.

%H Eric M. Schmidt, <a href="/A085547/b085547.txt">Table of n, a(n) for n = 1..35</a>

%o (GAP) A085547 := n -> Maximum(List(Irr(CharacterTable("Symmetric", n)), Sum)); # _Eric M. Schmidt_, Feb 18 2013

%Y Cf. A000700, A000085.

%K nonn

%O 1,2

%A Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 03 2003

%E Corrected and extended by _Vladeta Jovovic_, Jul 05 2003

%E More terms from _Eric M. Schmidt_, Feb 18 2013